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Finding the Fourth Proportional to 356,939.68, 492,494.16 and 213,645.28

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Solution

The fourth proportional to 356,939.68, 492,494.16 and 213,645.28 is: 294,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,939.68 : 492,494.16 = 213,645.28 : x
  2. Step 2: Convert to fraction form
    356,939.68/492,494.16 = 213,645.28/x
  3. Step 3: Cross multiply
    356,939.68x = 492,494.16 × 213,645.28
  4. Step 4: Simplify right side
    356,939.68x = 105,219,052,711.57
  5. Step 5: Solve for x
    x = 105,219,052,711.57/356,939.68
  6. Step 6: Final answer
    x = 294,781.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.